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Finding the Fourth Proportional to 302,702.42, 414,704.34 and 291,351.88

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Solution

The fourth proportional to 302,702.42, 414,704.34 and 291,351.88 is: 399,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,702.42 : 414,704.34 = 291,351.88 : x
  2. Step 2: Convert to fraction form
    302,702.42/414,704.34 = 291,351.88/x
  3. Step 3: Cross multiply
    302,702.42x = 414,704.34 × 291,351.88
  4. Step 4: Simplify right side
    302,702.42x = 120,824,889,103.16
  5. Step 5: Solve for x
    x = 120,824,889,103.16/302,702.42
  6. Step 6: Final answer
    x = 399,154.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.